en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3e^{-3t})^2

Solution

simplify

(- 3 e^{- 3 t})^{2}

Solution

9 e^{- 6 t}

Solution steps

(- 3 e^{- 3 t})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 3 e^{- 3 t})^{2} = (3 e^{- 3 t})^{2}

= (3 e^{- 3 t})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 3^{2} (e^{- 3 t})^{2}

(e^{- 3 t})^{2} : e^{- 6 t}

= 3^{2} e^{- 6 t}

3^{2} = 9

= 9 e^{- 6 t}

Popular Examples

simplify 7+1/4 simplify

7 + \frac{1}{4}

factor 1-n^3 factor

1 - n^{3}

simplify 16-2 simplify

16 - 2

simplify 15\times 4 simplify

15 \times 4

factor-x^3+6x^2-9x+4 factor

- x^{3} + 6 x^{2} - 9 x + 4

Frequently Asked Questions (FAQ)

What is (-3e^{-3t})^2 ?
The solution to (-3e^{-3t})^2 is 9e^{-6t}